2768346 has 48 divisors (see below), whose sum is σ = 6948864. Its totient is φ = 780192.

The previous prime is 2768341. The next prime is 2768351. The reversal of 2768346 is 6438672.

It is an interprime number because it is at equal distance from previous prime (2768341) and next prime (2768351).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a d-powerful number, because it can be written as 2³ + 7⁶ + 6 + 8 + 3¹³ + 4¹⁰ + 6⁵ .

It is a self number, because there is not a number n which added to its sum of digits gives 2768346.

It is not an unprimeable number, because it can be changed into a prime (2768341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15916 + ... + 16088.

It is an arithmetic number, because the mean of its divisors is an integer number (144768).

2^2768346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474432).

2768346 is an abundant number, since it is smaller than the sum of its proper divisors (4180518).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2768346 is a wasteful number, since it uses less digits than its factorization.

2768346 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 312 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2768346 is about 1663.8347273693. The cubic root of 2768346 is about 140.4128290807.

The spelling of 2768346 in words is "two million, seven hundred sixty-eight thousand, three hundred forty-six".